Answer:
Probability that deliberation will last between 12 and 15 hours is 0.1725.
Step-by-step explanation:
We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.
<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>
So, X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= mean time = 12.56 hours
= standard deviation = 6.7 hours
So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X
12)
P(X < 15) = P(
<
) = P(Z < 0.36) = 0.64058
P(X
12) = P(
) = P(Z
-0.08) = 1 - P(Z < 0.08)
= 1 - 0.53188 = 0.46812
<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>
Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.
Answer:
AGE = 129 degrees
Step-by-step explanation:
Answer:
<h2>x = 12</h2><h2 /><h2>y = 4√3</h2>
Step-by-step explanation:
<u>To find x we use cosine</u>
cos∅ = adjacent / hypotenuse
x is the adjacent
8√3 is the hypotenuse
cos 30 = x / 8√3
x = 8√3 cos 30
<h3>x = 12</h3>
<u>To find y we use sine</u>
sin∅ = opposite / hypotenuse
y is the opposite
8√3 is the hypotenuse
sin 30 = y / 8√3
y = 8√3 sin 30
<h3>y = 4√3</h3>
Hope this helps you
EXPLANATION
The consecutive even numbers are
![370 \: and \: 372](https://tex.z-dn.net/?f=370%20%5C%3A%20and%20%5C%3A%20372)
EXPLANATION
Let
![x](https://tex.z-dn.net/?f=x)
be the first even number then, the next even number will be,
![x + 2](https://tex.z-dn.net/?f=x%20%2B%202)
The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,
![\frac{1}{2} (x + 2) - \frac{2}{5} x = 38](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20%2B%202%29%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20x%20%3D%2038)
We multiply through with an LCM of 10 to get,
![10 \times \frac{1}{2} (x + 2) - 10 \times \frac{2}{5} x = 38 \times 10](https://tex.z-dn.net/?f=%2010%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20%2B%202%29%20-%2010%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B5%7D%20x%20%3D%2038%20%5Ctimes%2010)
This simplifies to,
![5(x + 2) - 4x = 380](https://tex.z-dn.net/?f=5%28x%20%2B%202%29%20-%20%204x%20%3D%20380)
We expand the brackets to get,
![5x + 10 - 4x = 380](https://tex.z-dn.net/?f=5x%20%2B%2010%20-%204x%20%3D%20380)
We group like terms to get,
![5x - 4x = 380 - 10](https://tex.z-dn.net/?f=5x%20-%204x%20%3D%20380%20-%2010)
This simplifies to
![x = 370](https://tex.z-dn.net/?f=x%20%3D%20370)
Therefore the next even number is is
Here are the numbers of times 11 people ate out last month.<br>
4, 6, 6, 6, 3, 7, 3, 3, 7, 6,3
sdas [7]
Answer:
ok but what am I supposed to do with it?
Step-by-step explanation: